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Simplifying 3(x + -2) + -5(2x + -1) + -2(3x + 4) + 10 = 0 Reorder the terms: 3(-2 + x) + -5(2x + -1) + -2(3x + 4) + 10 = 0 (-2 * 3 + x * 3) + -5(2x + -1) + -2(3x + 4) + 10 = 0 (-6 + 3x) + -5(2x + -1) + -2(3x + 4) + 10 = 0 Reorder the terms: -6 + 3x + -5(-1 + 2x) + -2(3x + 4) + 10 = 0 -6 + 3x + (-1 * -5 + 2x * -5) + -2(3x + 4) + 10 = 0 -6 + 3x + (5 + -10x) + -2(3x + 4) + 10 = 0 Reorder the terms: -6 + 3x + 5 + -10x + -2(4 + 3x) + 10 = 0 -6 + 3x + 5 + -10x + (4 * -2 + 3x * -2) + 10 = 0 -6 + 3x + 5 + -10x + (-8 + -6x) + 10 = 0 Reorder the terms: -6 + 5 + -8 + 10 + 3x + -10x + -6x = 0 Combine like terms: -6 + 5 = -1 -1 + -8 + 10 + 3x + -10x + -6x = 0 Combine like terms: -1 + -8 = -9 -9 + 10 + 3x + -10x + -6x = 0 Combine like terms: -9 + 10 = 1 1 + 3x + -10x + -6x = 0 Combine like terms: 3x + -10x = -7x 1 + -7x + -6x = 0 Combine like terms: -7x + -6x = -13x 1 + -13x = 0 Solving 1 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -13x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = 0 + -1 -13x = 0 + -1 Combine like terms: 0 + -1 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692
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